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| 57 | <td><a href="../../../Interpolation//quadrilateral2square.pro" title="Source code of a file">Source</a></td> |
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| 74 | <a href="neighbor.html"><<prev file</a> | <a href="spl_fstdrv.html">next file >></a> <a href="quadrilateral2square.html" target="_TOP">view single page</a> | <a href="./../index.html" target="_TOP">view frames</a> summary: fields | routine details: <a href="#routine_details">routine</a> |
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| 79 | <div id="container"> |
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| 80 | |
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| 81 | <h1 class="directory"><a href="directory-overview.html">Interpolation/</a></h1> |
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| 82 | <h2 class="pro_file">quadrilateral2square.pro</h2> |
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| 83 | |
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| 84 | <div id="file_attr"> |
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| 85 | <dl> |
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| 86 | </dl> |
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| 87 | </div> |
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| 88 | |
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| 89 | <div id="file_comments"> |
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| 90 | warm (or map) an arbitrary quadrilateral onto a unit square |
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| 91 | according to the 4-point correspondences: |
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| 92 | - (x0,y0) -> (0,0) |
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| 93 | - (x1,y1) -> (1,0) |
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| 94 | - (x2,y2) -> (1,1) |
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| 95 | - (x3,y3) -> (0,1) |
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| 96 | |
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| 97 | This is the inverse function of <a href="..//Interpolation/square2quadrilateral.html">square2quadrilateral</a>. |
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| 98 | |
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| 99 | The mapping is done using perspective transformation which preserve |
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| 100 | lines in all orientations and permit quadrilateral to quadrilateral |
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| 101 | mappings. see ref. below. |
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| 102 | </div> |
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| 103 | |
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| 104 | |
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| 105 | |
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| 106 | |
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| 107 | |
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| 108 | |
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| 109 | |
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| 110 | |
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| 111 | |
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| 112 | <div id="routine_details"> |
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| 113 | |
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| 114 | |
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| 115 | <div class="routine_details" id="_quadrilateral2square"> |
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| 116 | |
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| 117 | <h2><a class="top" href="#container">top</a>quadrilateral2square <span class="categories"> |
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| 118 | Picture, Grid |
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| 119 | </span></h2> |
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| 120 | |
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| 121 | <p class="header"> |
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| 122 | <span class="result">result = </span>quadrilateral2square(<span class="result"><a href="#_quadrilateral2square_param_x0in">x0in</a>, <a href="#_quadrilateral2square_param_y0in">y0in</a>, <a href="#_quadrilateral2square_param_x1in">x1in</a>, <a href="#_quadrilateral2square_param_y1in">y1in</a>, <a href="#_quadrilateral2square_param_x2in">x2in</a>, <a href="#_quadrilateral2square_param_y2in">y2in</a>, <a href="#_quadrilateral2square_param_x3in">x3in</a>, <a href="#_quadrilateral2square_param_y3in">y3in</a>, <a href="#_quadrilateral2square_param_xxin">xxin</a>, <a href="#_quadrilateral2square_param_yyin">yyin</a></span>, <a href="#_quadrilateral2square_keyword_PERF">PERF</a>=<span class="result">salar 0 or 1</span>, <a href="#_quadrilateral2square_keyword_DOUBLE">DOUBLE</a>=<span class="result">salar 0 or 1</span>)</p> |
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| 123 | |
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| 124 | <div class="comments"> |
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| 125 | </div> |
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| 126 | |
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| 127 | <h3>Return value</h3><div class="preformat"> |
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| 128 | (2,n) array: the new coordinates (xout,yout) of the (xin,yin) point(s) after |
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| 129 | mapping. |
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| 130 | If xin is a scalar, then n is equal to the number of elements of x0. |
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| 131 | If xin is an array, then n is equal to the number of elements of xin. |
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| 132 | </div> |
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| 133 | |
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| 134 | |
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| 135 | <h3>Parameters</h3> |
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| 136 | |
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| 137 | |
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| 138 | <h4 id="_quadrilateral2square_param_x0in">x0in |
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| 139 | <span class="attr">in</span> |
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| 140 | |
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| 141 | |
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| 142 | <span class="attr">required</span> |
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| 143 | |
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| 144 | |
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| 145 | |
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| 146 | |
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| 147 | </h4> |
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| 148 | |
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| 149 | <div class="comments"></div> |
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| 150 | |
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| 151 | <h4 id="_quadrilateral2square_param_y0in">y0in |
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| 152 | <span class="attr">in</span> |
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| 153 | |
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| 154 | |
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| 155 | <span class="attr">required</span> |
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| 156 | |
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| 157 | |
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| 158 | |
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| 159 | |
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| 160 | </h4> |
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| 161 | |
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| 162 | <div class="comments"></div> |
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| 163 | |
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| 164 | <h4 id="_quadrilateral2square_param_x1in">x1in |
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| 165 | <span class="attr">in</span> |
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| 166 | |
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| 167 | |
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| 168 | <span class="attr">required</span> |
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| 169 | |
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| 170 | |
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| 171 | |
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| 172 | |
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| 173 | </h4> |
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| 174 | |
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| 175 | <div class="comments"></div> |
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| 176 | |
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| 177 | <h4 id="_quadrilateral2square_param_y1in">y1in |
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| 178 | <span class="attr">in</span> |
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| 179 | |
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| 180 | |
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| 181 | <span class="attr">required</span> |
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| 182 | |
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| 183 | |
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| 184 | |
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| 185 | |
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| 186 | </h4> |
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| 187 | |
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| 188 | <div class="comments"></div> |
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| 189 | |
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| 190 | <h4 id="_quadrilateral2square_param_x2in">x2in |
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| 191 | <span class="attr">in</span> |
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| 192 | |
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| 193 | |
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| 194 | <span class="attr">required</span> |
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| 195 | |
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| 196 | |
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| 197 | |
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| 198 | |
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| 199 | </h4> |
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| 200 | |
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| 201 | <div class="comments"></div> |
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| 202 | |
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| 203 | <h4 id="_quadrilateral2square_param_y2in">y2in |
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| 204 | <span class="attr">in</span> |
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| 205 | |
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| 206 | |
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| 207 | <span class="attr">required</span> |
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| 208 | |
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| 209 | |
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| 210 | |
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| 211 | |
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| 212 | </h4> |
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| 213 | |
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| 214 | <div class="comments"></div> |
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| 215 | |
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| 216 | <h4 id="_quadrilateral2square_param_x3in">x3in |
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| 217 | <span class="attr">in</span> |
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| 218 | |
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| 219 | |
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| 220 | <span class="attr">required</span> |
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| 221 | |
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| 222 | |
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| 223 | |
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| 224 | |
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| 225 | </h4> |
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| 226 | |
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| 227 | <div class="comments"></div> |
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| 228 | |
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| 229 | <h4 id="_quadrilateral2square_param_y3in">y3in |
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| 230 | <span class="attr">in</span> |
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| 231 | |
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| 232 | |
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| 233 | <span class="attr">required</span> |
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| 234 | |
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| 235 | |
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| 236 | |
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| 237 | |
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| 238 | </h4> |
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| 239 | |
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| 240 | <div class="comments"> |
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| 241 | the coordinates of the quadrilateral |
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| 242 | (see above for correspondence with the unit square). Can be |
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| 243 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 244 | given in the anticlockwise order. |
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| 245 | </div> |
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| 246 | |
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| 247 | <h4 id="_quadrilateral2square_param_xxin">xxin |
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| 248 | <span class="attr">in</span> |
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| 249 | |
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| 250 | |
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| 251 | <span class="attr">required</span> |
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| 252 | |
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| 253 | |
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| 254 | |
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| 255 | |
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| 256 | </h4> |
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| 257 | |
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| 258 | <div class="comments"> |
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| 259 | the coordinates of the point(s) for which we want to do the mapping. |
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| 260 | Can be scalar or array. |
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| 261 | </div> |
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| 262 | |
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| 263 | <h4 id="_quadrilateral2square_param_yyin">yyin |
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| 264 | <span class="attr">in</span> |
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| 265 | |
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| 266 | |
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| 267 | <span class="attr">required</span> |
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| 268 | |
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| 269 | |
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| 270 | |
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| 271 | |
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| 272 | </h4> |
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| 273 | |
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| 274 | <div class="comments"> |
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| 275 | the coordinates of the point(s) for which we want to do the mapping. |
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| 276 | Can be scalar or array. |
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| 277 | </div> |
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| 278 | |
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| 279 | |
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| 280 | |
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| 281 | |
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| 282 | |
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| 283 | |
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| 284 | <h3>Keywords</h3> |
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| 285 | |
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| 286 | <h4 id="_quadrilateral2square_keyword_PERF">PERF |
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| 287 | |
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| 288 | |
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| 289 | |
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| 290 | |
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| 291 | |
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| 292 | <span class="attr">type:</span> <span class="value">salar 0 or 1</span> |
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| 293 | <span class="attr">default:</span> <span class="value">0</span> |
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| 294 | |
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| 295 | </h4> |
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| 296 | |
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| 297 | <div class="comments"> |
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| 298 | activate to print the elapsed time spent within quadrilateral2square |
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| 299 | </div> |
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| 300 | |
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| 301 | <h4 id="_quadrilateral2square_keyword_DOUBLE">DOUBLE |
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| 302 | |
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| 303 | |
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| 304 | |
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| 305 | |
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| 306 | |
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| 307 | <span class="attr">type:</span> <span class="value">salar 0 or 1</span> |
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| 308 | <span class="attr">default:</span> <span class="value">0</span> |
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| 309 | |
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| 310 | </h4> |
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| 311 | |
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| 312 | <div class="comments"> |
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| 313 | activate to perform double precision computation |
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| 314 | </div> |
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| 315 | |
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| 316 | |
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| 317 | |
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| 318 | <h3>Examples</h3><div class="preformat"> |
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| 319 | |
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| 320 | IDL> splot,[0,5],[0,3],/nodata,xstyle=1,ystyle=1 |
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| 321 | IDL> tracegrille, findgen(11)*.1, findgen(11)*.1,color=indgen(12)*20 |
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| 322 | IDL> xin = (findgen(11)*.1)#replicate(1, 11) |
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| 323 | IDL> yin = replicate(1, 11)#(findgen(11)*.1) |
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| 324 | IDL> out = square2quadrilateral(2,1,3,0,5,1,2,3, xin, yin) |
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| 325 | IDL> tracegrille, reform(out[0,*],11,11), reform(out[1,*],11,11),color=indgen(12)*20 |
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| 326 | |
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| 327 | IDL> inorg=quadrilateral2square(2,1,3,0,5,1,2,3,out[0,*],out[1,*]) |
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| 328 | IDL> tracegrille, reform(inorg[0,*],11,11), reform(inorg[1,*],11,11),color=indgen(12)*20 |
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| 329 | </div> |
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| 330 | <h3>Version history</h3> |
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| 331 | |
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| 332 | <h4>Version</h4><div class="preformat"> |
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| 333 | $Id: quadrilateral2square.pro 372 2008-08-08 12:31:53Z pinsard $ |
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| 334 | </div> |
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| 335 | <h4>History</h4><div class="preformat"> |
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| 336 | Sebastien Masson (smasson@lodyc.jussieu.fr) |
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| 337 | August 2003 |
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| 338 | Based on "Digital Image Warping" by G. Wolberg |
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| 339 | IEEE Computer Society Press, Los Alamitos, California |
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| 340 | Chapter 3, see p 52-56 |
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| 341 | |
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| 342 | </div> |
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| 343 | |
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| 344 | |
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| 345 | <h3>Known issues</h3> |
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| 346 | |
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| 347 | |
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| 348 | |
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| 349 | <h4>Restrictions</h4><div class="preformat"> |
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| 350 | I think degenerated quadrilateral (e.g. flat of twisted) is not work. |
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| 351 | This has to be tested. |
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| 352 | </div> |
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| 353 | |
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| 354 | |
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| 355 | |
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| 356 | |
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| 357 | |
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| 358 | |
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| 359 | |
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| 360 | |
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| 361 | |
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| 362 | <h3>Statistics</h3> |
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| 363 | <table class="statistics"> |
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| 364 | <tr><td>McCabe cyclic</td><td> 8</td></tr> |
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| 365 | <tr><td>McCabe essential</td><td> 1</td></tr> |
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| 366 | <tr><td>McCabe modular design</td><td> 1</td></tr> |
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| 367 | </table> |
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| 368 | |
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| 369 | |
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| 370 | </div> |
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| 371 | |
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| 372 | </div> |
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| 373 | |
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| 374 | |
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| 375 | |
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| 376 | <div id="tagline">Produced by IDLdoc 2.0.</div> |
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| 377 | |
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| 378 | </div> |
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| 379 | |
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| 380 | </body> |
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| 381 | </html> |
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